Finding the Fourth Proportional to 2,638.34, 3,956.16 and 1,406.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.34 : 3,956.16 = 1,406.42 : x
2. Step 2: Convert to fraction form
   2,638.34/3,956.16 = 1,406.42/x
3. Step 3: Cross multiply
   2,638.34x = 3,956.16 × 1,406.42
4. Step 4: Simplify right side
   2,638.34x = 5,564,022.55
5. Step 5: Solve for x
   x = 5,564,022.55/2,638.34
6. Step 6: Final answer
   x = 2,108.91